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Finding the Fourth Proportional to 542,685.78, 748,952.38 and 301,046.21

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Solution

The fourth proportional to 542,685.78, 748,952.38 and 301,046.21 is: 415,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,685.78 : 748,952.38 = 301,046.21 : x
  2. Step 2: Convert to fraction form
    542,685.78/748,952.38 = 301,046.21/x
  3. Step 3: Cross multiply
    542,685.78x = 748,952.38 × 301,046.21
  4. Step 4: Simplify right side
    542,685.78x = 225,469,274,909.60
  5. Step 5: Solve for x
    x = 225,469,274,909.60/542,685.78
  6. Step 6: Final answer
    x = 415,469.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.